131838381840 has 320 divisors, whose sum is σ = 457074173952. Its totient is φ = 31159296000.

The previous prime is 131838381839. The next prime is 131838381841. The reversal of 131838381840 is 48183838131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131838381839) and next prime (131838381841).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131838381840.

It is not an unprimeable number, because it can be changed into a prime (131838381841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109773240 + ... + 109774440.

Almost surely, 2^131838381840 is an apocalyptic number.

131838381840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131838381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228537086976).

131838381840 is an abundant number, since it is smaller than the sum of its proper divisors (325235792112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131838381840 is a wasteful number, since it uses less digits than its factorization.

131838381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 131838381840 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, three hundred eighty-one thousand, eight hundred forty".